* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp x) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp x) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp x) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (expm1 (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (log1p (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (log (expm1 x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- x (log (expm1 x))) * [exit]simplify: Simplified to (- x (log (expm1 x))) * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- x (log (expm1 x))) * [exit]simplify: Simplified to (- x (log (expm1 x))) * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (exp (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (exp x) (expm1 x))) (cbrt (/ (exp x) (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (exp x) (expm1 x))) (cbrt (/ (exp x) (expm1 x)))) * [exit]simplify: Simplified to (* (cbrt (/ (exp x) (expm1 x))) (cbrt (/ (exp x) (expm1 x)))) * [enter]simplify: Simplifying (cbrt (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (exp x) (expm1 x))) * [enter]simplify: Simplifying (sqrt (/ (exp x) (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp x) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (exp x)) * [exit]simplify: Simplified to (- (exp x)) * [enter]simplify: Simplifying (- (expm1 x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (expm1 x)) * [exit]simplify: Simplified to (- (expm1 x)) * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (expm1 x))) (/ (cbrt (exp x)) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (expm1 x))) (/ (cbrt (exp x)) (cbrt (expm1 x)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (expm1 x))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (expm1 x))) (cbrt (exp x))) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (expm1 x))) (cbrt (exp x))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (expm1 x))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (/ (cbrt (exp x)) 1)) * [exit]simplify: Simplified to (* (cbrt (exp x)) (/ (cbrt (exp x)) 1)) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (expm1 x)) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (expm1 x)) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (expm1 x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (expm1 x))) (cbrt (expm1 x))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) 1) * [exit]simplify: Simplified to (/ (sqrt (exp x)) 1) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [enter]simplify: Simplifying (/ (exp x) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (exp x) (cbrt (expm1 x))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (exp x) (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (expm1 x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (expm1 x))) (cbrt (expm1 x))) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (exp x) 1) * [exit]simplify: Simplified to (/ (exp x) 1) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (exp x))) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (exp x))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (fma 1/12 x 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 x) 1/2) into (+ 1/2 (* 1/12 x)) * [misc]approximate: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* 1/12 (/ 1 (/ 1 x)))) into (+ 1/2 (* 1/12 x)) * [misc]approximate: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* -1/12 (/ 1 (/ 1 (- x))))) into (+ 1/2 (* 1/12 x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (fma 1/12 x 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (+ 0 1/12) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (fma 1/12 (/ 1 x) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (+ 0 1/12) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) (+ 1/2 (* 1/12 (/ 1 (/ 1 x))))) into (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (fma 1/12 (/ 1 (- x)) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (+ 0 -1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) (+ 1/2 (* -1/12 (/ 1 (/ 1 (- x)))))) into (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (expm1 (fma 1/12 x 1/2)) * * * * [misc]progress: [ 2 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (log1p (fma 1/12 x 1/2)) * * * * [misc]progress: [ 3 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x 1/12) * [exit]simplify: Simplified to (* x 1/12) * * * * [misc]progress: [ 4 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (log (fma 1/12 x 1/2)) * * * * [misc]progress: [ 6 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (exp (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (exp (fma 1/12 x 1/2)) * * * * [misc]progress: [ 7 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (cbrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 8 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) 3) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) 3) * * * * [misc]progress: [ 9 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [enter]simplify: Simplifying (sqrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 10 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (expm1 (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 12 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log1p (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 13 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1 x)) (exp (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 18 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 20 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 21 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) (cbrt (+ (/ 1 x) (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) (cbrt (+ (/ 1 x) (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) (cbrt (+ (/ 1 x) (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 22 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1 x) (fma 1/12 x 1/2)) (+ (/ 1 x) (fma 1/12 x 1/2))) (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (pow (+ (fma 1/12 x 1/2) (/ 1 x)) 3) * [exit]simplify: Simplified to (pow (+ (fma 1/12 x 1/2) (/ 1 x)) 3) * * * * [misc]progress: [ 23 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (fma 1/12 x 1/2))) * * * * [misc]progress: [ 24 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 x) 3) (pow (fma 1/12 x 1/2) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (fma (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (fma 1/12 x 1/2) (/ (/ 1 x) (* x x))) * [exit]simplify: Simplified to (fma (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (fma 1/12 x 1/2) (/ (/ 1 x) (* x x))) * [enter]simplify: Simplifying (+ (* (/ 1 x) (/ 1 x)) (- (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (* (/ 1 x) (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (fma (fma 1/12 x 1/2) (- (fma 1/12 x 1/2) (/ 1 x)) (* (/ 1 x) (/ 1 x))) * [exit]simplify: Simplified to (fma (fma 1/12 x 1/2) (- (fma 1/12 x 1/2) (/ 1 x)) (* (/ 1 x) (/ 1 x))) * * * * [misc]progress: [ 25 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 x) (/ 1 x)) (* (fma 1/12 x 1/2) (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (+ (fma 1/12 x 1/2) (/ 1 x)) (- (/ 1 x) (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (+ (fma 1/12 x 1/2) (/ 1 x)) (- (/ 1 x) (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (- (/ 1 x) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (- (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 27 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 28 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 29 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* 1/12 x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (fma x 1/12 (/ 1 x)) * [exit]simplify: Simplified to (fma x 1/12 (/ 1 x)) * * * * [misc]progress: [ 30 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (+ 1/2 (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma x 1/12 1/2)) * * * * [misc]progress: [ 32 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (+ 1/2 (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma x 1/12 1/2)) * * * * [misc]progress: [ 33 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (+ 1/2 (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma x 1/12 1/2)) * * * * [misc]progress: [ 34 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 35 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 36 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (+ (/ 1 x) (* 1/12 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (fma 1/12 x 1/2)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (* (pow 1/2 1/3) (pow 1/2 1/3)) into (pow (pow 1/2 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow 1/2 2) 1/3) into (pow (pow 1/2 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/12) 1)) (pow 1/2 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/3 1/6) (* 0 (log 1/2))) into 1/18 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 1) 1)))) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/12) 1)) (pow 1/2 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/3 1/6) (* 0 (log 1/2))) into 1/18 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 1) 1)))) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow 1/2 1/3) (* 1/18 (pow 1/2 1/3))) (* (* 1/18 (pow 1/2 1/3)) (pow 1/2 1/3))) into (* 1/9 (pow 1/4 1/3)) * [misc]backup-simplify: Simplify (* 1/9 (pow 1/4 1/3)) into (* 1/9 (pow 1/4 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/12) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/72 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/72) (+ (* 0 1/6) (* 0 (log 1/2)))) into -1/216 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 2) 2)) (* (/ (pow -1/216 1) 1)))) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/12) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/72 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/72) (+ (* 0 1/6) (* 0 (log 1/2)))) into -1/216 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 2) 2)) (* (/ (pow -1/216 1) 1)))) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow 1/2 1/3) (* -1/324 (pow 1/2 1/3))) (+ (* (* 1/18 (pow 1/2 1/3)) (* 1/18 (pow 1/2 1/3))) (* (* -1/324 (pow 1/2 1/3)) (pow 1/2 1/3)))) into (- (* 1/324 (pow 1/4 1/3))) * [misc]backup-simplify: Simplify (- (* 1/324 (pow 1/4 1/3))) into (- (* 1/324 (pow 1/4 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/324 (pow 1/4 1/3))) (pow x 2)) (+ (* (* 1/9 (pow 1/4 1/3)) x) (pow (pow 1/2 2) 1/3))) into (- (+ (* 1/9 (* (pow 1/4 1/3) x)) (pow (pow 1/2 2) 1/3)) (* 1/324 (* (pow 1/4 1/3) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (fma 1/12 (/ 1 x) 1/2)) (cbrt (fma 1/12 (/ 1 x) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma 1/12 (/ 1 x) 1/2)) (cbrt (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (fma 1/12 (/ 1 x) 1/2)) (cbrt (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (exp (* 1/3 (- (log 1/12) (log x))))) into (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) into (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/12) (log x)))) (* 2 (exp (* 1/3 (- (log 1/12) (log x)))))) (* (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) (exp (* 1/3 (- (log 1/12) (log x)))))) into (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) * [misc]backup-simplify: Simplify (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) into (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/12) (log x)))) (* -4 (exp (* 1/3 (- (log 1/12) (log x)))))) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) (* 2 (exp (* 1/3 (- (log 1/12) (log x)))))) (* (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) (exp (* 1/3 (- (log 1/12) (log x))))))) into (- (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2))) into (- (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2))) (pow (/ 1 x) 2)) (+ (* (* 4 (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2)) (/ 1 x)) (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2))) into (- (+ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) (* 4 (/ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) x))) (* 4 (/ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) (cbrt (fma 1/12 (/ 1 (- x)) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) (cbrt (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) (cbrt (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (exp (* 1/3 (- (log -1/12) (log x))))) into (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) into (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/12) (log x)))) (* -2 (exp (* 1/3 (- (log -1/12) (log x)))))) (* (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) (exp (* 1/3 (- (log -1/12) (log x)))))) into (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) into (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/12) (log x)))) (* -4 (exp (* 1/3 (- (log -1/12) (log x)))))) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) (* -2 (exp (* 1/3 (- (log -1/12) (log x)))))) (* (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) (exp (* 1/3 (- (log -1/12) (log x))))))) into (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) into (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))) 2))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))) 2))) (/ 1 (- x))) (pow (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))) 2))) into (- (+ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) (* 4 (/ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) x))) (* 4 (/ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) (pow x 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/12) 1)) (pow 1/2 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/3 1/6) (* 0 (log 1/2))) into 1/18 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 1) 1)))) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (* 1/18 (pow 1/2 1/3)) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/12) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/72 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/72) (+ (* 0 1/6) (* 0 (log 1/2)))) into -1/216 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 2) 2)) (* (/ (pow -1/216 1) 1)))) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (* -1/324 (pow 1/2 1/3)) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/324 (pow 1/2 1/3)) (pow x 2)) (+ (* (* 1/18 (pow 1/2 1/3)) x) (pow 1/2 1/3))) into (- (+ (* 1/18 (* (pow 1/2 1/3) x)) (pow 1/2 1/3)) (* 1/324 (* (pow 1/2 1/3) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))))) into (- (+ (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (* 4 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 4 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/12) 1)) (pow 1/2 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/3 1/6) (* 0 (log 1/2))) into 1/18 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 1) 1)))) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (* 1/18 (pow 1/2 1/3)) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/12) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/72 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/72) (+ (* 0 1/6) (* 0 (log 1/2)))) into -1/216 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 2) 2)) (* (/ (pow -1/216 1) 1)))) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (* -1/324 (pow 1/2 1/3)) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/324 (pow 1/2 1/3)) (pow x 2)) (+ (* (* 1/18 (pow 1/2 1/3)) x) (pow 1/2 1/3))) into (- (+ (* 1/18 (* (pow 1/2 1/3) x)) (pow 1/2 1/3)) (* 1/324 (* (pow 1/2 1/3) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))))) into (- (+ (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (* 4 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 4 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/12) 1)) (pow 1/2 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/3 1/6) (* 0 (log 1/2))) into 1/18 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 1) 1)))) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (* 1/18 (pow 1/2 1/3)) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/12) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/72 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/72) (+ (* 0 1/6) (* 0 (log 1/2)))) into -1/216 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 2) 2)) (* (/ (pow -1/216 1) 1)))) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (* -1/324 (pow 1/2 1/3)) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/324 (pow 1/2 1/3)) (pow x 2)) (+ (* (* 1/18 (pow 1/2 1/3)) x) (pow 1/2 1/3))) into (- (+ (* 1/18 (* (pow 1/2 1/3) x)) (pow 1/2 1/3)) (* 1/324 (* (pow 1/2 1/3) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))))) into (- (+ (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (* 4 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 4 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (expm1 (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (expm1 (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log1p (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (log1p (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (fma 1/12 x 1/2))) (log (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (fma 1/12 x 1/2))) (log (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (+ (log (cbrt (fma 1/12 x 1/2))) (log (cbrt (fma 1/12 x 1/2)))) * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (fma 1/12 x 1/2))) (log (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (+ (log (cbrt (fma 1/12 x 1/2))) (log (cbrt (fma 1/12 x 1/2)))) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (exp (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (fabs (cbrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (sqrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (fabs (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))))) * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (sqrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (sqrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (sqrt (fma 1/12 x 1/2)))) * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt 1)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt 1)) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt 1)) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2))))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2))))) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (sqrt (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (sqrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) 1) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (sqrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (sqrt (fma 1/12 x 1/2)))) * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (sqrt (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (expm1 (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log1p (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (exp (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (cbrt (sqrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (sqrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (expm1 (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log1p (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (exp (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (cbrt (sqrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (sqrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (expm1 (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log1p (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (exp (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (cbrt (sqrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (sqrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (- (+ (* 1/9 (* (pow 1/4 1/3) x)) (pow (pow 1/2 2) 1/3)) (* 1/324 (* (pow 1/4 1/3) (pow x 2)))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (fma (cbrt (fma 1/12 x 1/2)) (fma x (* (cbrt 1/4) (- 1/9 (* 1/324 x))) (cbrt (* 1/2 1/2))) (/ 1 x)) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (- (+ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) (* 4 (/ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) x))) (* 4 (/ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) (pow x 2)))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (fma (fma (/ (pow (/ (* 1/12 x) 1) (+ 1/3 1/3)) x) (- 4 (/ 4 x)) (pow (/ (* 1/12 x) 1) (+ 1/3 1/3))) (cbrt (fma 1/12 x 1/2)) (/ 1 x)) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (- (+ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) (* 4 (/ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) x))) (* 4 (/ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) (pow x 2)))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (fma (cbrt (fma 1/12 x 1/2)) (fma (/ (pow (* (/ -1/12 -1) x) (+ 1/3 1/3)) x) (- 4 (/ 4 x)) (pow (* (/ -1/12 -1) x) (+ 1/3 1/3))) (/ 1 x)) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (- (+ (* 1/18 (* (pow 1/2 1/3) x)) (pow 1/2 1/3)) (* 1/324 (* (pow 1/2 1/3) (pow x 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (fma (cbrt 1/2) (* x (- 1/18 (* 1/324 x))) (cbrt 1/2)) (/ 1 x)) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (- (+ (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (* 4 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (* (exp (fma (- (log 1/12) (log 1)) 1/3 (* (log x) 1/3))) (- (+ (/ 2 x) 1) (/ 4 (* x x)))) (/ 1 x)) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 4 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (fma (fma (exp (fma 1/3 (- (log -1/12) (log -1)) (* (log x) 1/3))) (- (/ 2 x) (/ 4 (* x x))) (exp (fma 1/3 (- (log -1/12) (log -1)) (* (log x) 1/3)))) (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (/ 1 x)) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (cbrt (fma 1/12 x 1/2)) (- (+ (* 1/18 (* (pow 1/2 1/3) x)) (pow 1/2 1/3)) (* 1/324 (* (pow 1/2 1/3) (pow x 2))))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (fma x (* (cbrt 1/2) (- 1/18 (* 1/324 x))) (cbrt 1/2)) (/ 1 x)) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (cbrt (fma 1/12 x 1/2)) (- (+ (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (* 4 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2))))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (fma 1/12 x 1/2)) (* (exp (fma 1/3 (- (log 1/12) (log 1)) (* 1/3 (log x)))) (- (+ 1 (/ 2 x)) (/ 4 (* x x))))) (cbrt (fma 1/12 x 1/2)) (/ 1 x)) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (cbrt (fma 1/12 x 1/2)) (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 4 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2))))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (fma (fma (exp (fma 1/3 (- (log -1/12) (log -1)) (* 1/3 (log x)))) (- (/ 2 x) (/ 4 (* x x))) (exp (fma 1/3 (- (log -1/12) (log -1)) (* 1/3 (log x))))) (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (/ 1 x)) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (- (+ (* 1/18 (* (pow 1/2 1/3) x)) (pow 1/2 1/3)) (* 1/324 (* (pow 1/2 1/3) (pow x 2)))) (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (fma (* x (- 1/18 (* 1/324 x))) (cbrt 1/2) (cbrt 1/2)) (/ 1 x)) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (- (+ (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (* 4 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))) (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (* (exp (fma 1/3 (- (log 1/12) (log 1)) (* (log x) 1/3))) (- (+ 1 (/ 2 x)) (/ 4 (* x x)))) (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (/ 1 x)) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (* (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 4 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))) (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (fma (fma (exp (fma 1/3 (- (log -1/12) (log -1)) (* 1/3 (log x)))) (- (/ 2 x) (/ 4 (* x x))) (exp (fma 1/3 (- (log -1/12) (log -1)) (* 1/3 (log x))))) (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (/ 1 x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log 1/2)) into (* 2/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log 1/2))) into (pow 1/2 2/3) * [misc]taylor: Taking taylor expansion of (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 (log 1/2)) into (* 2/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log 1/2))) into (pow 1/2 2/3) * [misc]backup-simplify: Simplify (pow 1/2 2/3) into (pow 1/2 2/3) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/12) 1)) (pow 1/2 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 1/6) (* 0 (log 1/2))) into 1/9 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log 1/2))) (+ (* (/ (pow 1/9 1) 1)))) into (* 1/9 (pow (pow 1/2 2) 1/3)) * [misc]backup-simplify: Simplify (* 1/9 (pow (pow 1/2 2) 1/3)) into (* 1/9 (pow 1/4 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/12) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/72 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 -1/72) (+ (* 0 1/6) (* 0 (log 1/2)))) into -1/108 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log 1/2))) (+ (* (/ (pow 1/9 2) 2)) (* (/ (pow -1/108 1) 1)))) into (* -1/324 (pow (pow 1/2 2) 1/3)) * [misc]backup-simplify: Simplify (* -1/324 (pow (pow 1/2 2) 1/3)) into (* -1/324 (pow 1/4 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/324 (pow 1/4 1/3)) (pow x 2)) (+ (* (* 1/9 (pow 1/4 1/3)) x) (pow 1/2 2/3))) into (- (+ (pow 1/2 2/3) (* 1/9 (* (pow 1/4 1/3) x))) (* 1/324 (* (pow 1/4 1/3) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (pow (fma 1/12 (/ 1 x) 1/2) (+ 1/3 1/3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (fma 1/12 (/ 1 x) 1/2) (+ 1/3 1/3)) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 2/3 (- (log 1/12) (log x))) into (* 2/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log 1/12) (log x)))) into (exp (* 2/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (pow (fma 1/12 (/ 1 x) 1/2) (+ 1/3 1/3)) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 2/3 (- (log 1/12) (log x))) into (* 2/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log 1/12) (log x)))) into (exp (* 2/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log 1/12) (log x)))) into (exp (* 2/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 2/3 6) (* 0 (- (log 1/12) (log x)))) into 4 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 4 1) 1)))) into (* 4 (exp (* 2/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* 4 (exp (* 2/3 (- (log 1/12) (log x))))) into (* 4 (exp (* 2/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 2/3 -18) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 12) * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 4 2) 2)) (* (/ (pow (- 12) 1) 1)))) into (* -4 (exp (* 2/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 2/3 (- (log 1/12) (log x))))) into (* -4 (exp (* 2/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 2/3 (- (log 1/12) (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (* 4 (exp (* 2/3 (- (log 1/12) (log (/ 1 x)))))) (/ 1 x)) (exp (* 2/3 (- (log 1/12) (log (/ 1 x))))))) into (- (+ (exp (* 2/3 (- (log 1/12) (log (/ 1 x))))) (* 4 (/ (exp (* 2/3 (- (log 1/12) (log (/ 1 x))))) x))) (* 4 (/ (exp (* 2/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (pow (fma 1/12 (/ 1 (- x)) 1/2) (+ 1/3 1/3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (fma 1/12 (/ 1 (- x)) 1/2) (+ 1/3 1/3)) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 2/3 (- (log -1/12) (log x))) into (* 2/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1/12) (log x)))) into (exp (* 2/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (pow (fma 1/12 (/ 1 (- x)) 1/2) (+ 1/3 1/3)) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* (+ 1/3 1/3) (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ 1/3 1/3) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 2/3 (- (log -1/12) (log x))) into (* 2/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1/12) (log x)))) into (exp (* 2/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1/12) (log x)))) into (exp (* 2/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 2/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 4) * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 4) 1) 1)))) into (* -4 (exp (* 2/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 2/3 (- (log -1/12) (log x))))) into (* -4 (exp (* 2/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 2/3 -18) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 12) * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 4) 2) 2)) (* (/ (pow (- 12) 1) 1)))) into (* -4 (exp (* 2/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 2/3 (- (log -1/12) (log x))))) into (* -4 (exp (* 2/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 2/3 (- (log -1/12) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -4 (exp (* 2/3 (- (log -1/12) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 2/3 (- (log -1/12) (log (/ 1 (- x)))))))) into (- (+ (* 4 (/ (exp (* 2/3 (- (log -1/12) (log (/ -1 x))))) x)) (exp (* 2/3 (- (log -1/12) (log (/ -1 x)))))) (* 4 (/ (exp (* 2/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 x 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 x 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 x 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 x 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 x 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/12) 1)) (pow 1/2 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/3 1/6) (* 0 (log 1/2))) into 1/18 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 1) 1)))) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (* 1/18 (pow 1/2 1/3)) into (* 1/18 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/12) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/72 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/72) (+ (* 0 1/6) (* 0 (log 1/2)))) into -1/216 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 1/18 2) 2)) (* (/ (pow -1/216 1) 1)))) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (* -1/324 (pow 1/2 1/3)) into (* -1/324 (pow 1/2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/324 (pow 1/2 1/3)) (pow x 2)) (+ (* (* 1/18 (pow 1/2 1/3)) x) (pow 1/2 1/3))) into (- (+ (* 1/18 (* (pow 1/2 1/3) x)) (pow 1/2 1/3)) (* 1/324 (* (pow 1/2 1/3) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 x) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) into (* -4 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))))) into (- (+ (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (* 4 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Rewrote expression to (pow (fma 1/12 (/ 1 (- x)) 1/2) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma 1/12 (/ 1 (- x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma 1/12 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into -18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -18) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 6) 1) 1)))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -4 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -4 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 4 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (fma 1/12 x 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 x) 1/2) into (+ 1/2 (* 1/12 x)) * [misc]approximate: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* 1/12 (/ 1 (/ 1 x)))) into (+ 1/2 (* 1/12 x)) * [misc]approximate: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* -1/12 (/ 1 (/ 1 (- x))))) into (+ 1/2 (* 1/12 x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (fma 1/12 x 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 x) 1/2) into (+ 1/2 (* 1/12 x)) * [misc]approximate: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* 1/12 (/ 1 (/ 1 x)))) into (+ 1/2 (* 1/12 x)) * [misc]approximate: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma 1/12 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/12 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* -1/12 (/ 1 (/ 1 (- x))))) into (+ 1/2 (* 1/12 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (expm1 (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * [exit]simplify: Simplified to (expm1 (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (log1p (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * [exit]simplify: Simplified to (log1p (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (log (fma 1/12 x 1/2)) (+ 1/3 1/3)) * [exit]simplify: Simplified to (* (log (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (log (fma 1/12 x 1/2)) (+ 1/3 1/3)) * [exit]simplify: Simplified to (* (log (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (+ 1/3 1/3)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (fma 1/12 x 1/2) (* (cbrt (+ 1/3 1/3)) (cbrt (+ 1/3 1/3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) (* (cbrt (+ 1/3 1/3)) (cbrt (+ 1/3 1/3)))) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) (* (cbrt (+ 1/3 1/3)) (cbrt (+ 1/3 1/3)))) * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (fma 1/12 x 1/2) (sqrt (+ 1/3 1/3))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) (sqrt (+ 1/3 1/3))) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) (sqrt (+ 1/3 1/3))) * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (fma 1/12 x 1/2) 1) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (fma 1/12 x 1/2) 2) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (fma 1/12 x 1/2) 1/3) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [enter]simplify: Simplifying (pow (fma 1/12 x 1/2) 1/3) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (+ 1/3 1/3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (+ 1/3 1/3)) * [exit]simplify: Simplified to (pow (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (+ 1/3 1/3)) * [enter]simplify: Simplifying (pow (cbrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (pow (cbrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * [exit]simplify: Simplified to (pow (cbrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (pow (sqrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * [exit]simplify: Simplified to (pow (sqrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * [enter]simplify: Simplifying (pow (sqrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (pow (sqrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * [exit]simplify: Simplified to (pow (sqrt (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (+ 1/3 1/3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (log (fma 1/12 x 1/2)) (+ 1/3 1/3)) * [exit]simplify: Simplified to (* (log (fma 1/12 x 1/2)) (+ 1/3 1/3)) * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (exp (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * [exit]simplify: Simplified to (exp (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3)))) * [exit]simplify: Simplified to (* (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3)))) * [enter]simplify: Simplifying (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * [exit]simplify: Simplified to (cbrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) 3) * [exit]simplify: Simplified to (pow (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) 3) * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * [exit]simplify: Simplified to (sqrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * [enter]simplify: Simplifying (sqrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * [exit]simplify: Simplified to (sqrt (pow (fma 1/12 x 1/2) (+ 1/3 1/3))) * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (expm1 (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log1p (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (log (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (exp (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 27 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (cbrt (sqrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (sqrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma 1/12 x 1/2))) (cbrt (cbrt (fma 1/12 x 1/2)))) * [enter]simplify: Simplifying (cbrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (cbrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * [exit]simplify: Simplified to (fma 1/12 x 1/2) * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (sqrt (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (sqrt (cbrt (fma 1/12 x 1/2))) * * * * [misc]progress: [ 33 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (expm1 (fma 1/12 x 1/2)) * * * * [misc]progress: [ 35 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (log1p (fma 1/12 x 1/2)) * * * * [misc]progress: [ 36 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x 1/12) * [exit]simplify: Simplified to (* x 1/12) * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (log (fma 1/12 x 1/2)) * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (exp (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (exp (fma 1/12 x 1/2)) * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (cbrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) 3) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) 3) * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [enter]simplify: Simplifying (sqrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (expm1 (fma 1/12 x 1/2)) * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (log1p (fma 1/12 x 1/2)) * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x 1/12) * [exit]simplify: Simplified to (* x 1/12) * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (log (fma 1/12 x 1/2)) * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (exp (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (exp (fma 1/12 x 1/2)) * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [exit]simplify: Simplified to (* (cbrt (fma 1/12 x 1/2)) (cbrt (fma 1/12 x 1/2))) * [enter]simplify: Simplifying (cbrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (cbrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma 1/12 x 1/2) (fma 1/12 x 1/2)) (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) 3) * [exit]simplify: Simplified to (pow (fma 1/12 x 1/2) 3) * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [enter]simplify: Simplifying (sqrt (fma 1/12 x 1/2)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * [exit]simplify: Simplified to (sqrt (fma 1/12 x 1/2)) * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (- (+ (pow 1/2 2/3) (* 1/9 (* (pow 1/4 1/3) x))) (* 1/324 (* (pow 1/4 1/3) (pow x 2)))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (fma (cbrt (fma 1/12 x 1/2)) (fma (cbrt 1/4) (* x (- 1/9 (* 1/324 x))) (pow 1/2 2/3)) (/ 1 x)) * * * * [misc]progress: [ 55 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (- (+ (exp (* 2/3 (- (log 1/12) (log (/ 1 x))))) (* 4 (/ (exp (* 2/3 (- (log 1/12) (log (/ 1 x))))) x))) (* 4 (/ (exp (* 2/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (* (pow (exp 2/3) (- (log 1/12) (log 1))) (* (pow x 2/3) (cbrt (fma 1/12 x 1/2))))) (* (* (- 4 (/ 4 x)) (cbrt (fma 1/12 x 1/2))) (/ (pow (exp 2/3) (- (log 1/12) (log 1))) (/ x (pow x 2/3))))) * * * * [misc]progress: [ 56 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (- (+ (* 4 (/ (exp (* 2/3 (- (log -1/12) (log (/ -1 x))))) x)) (exp (* 2/3 (- (log -1/12) (log (/ -1 x)))))) (* 4 (/ (exp (* 2/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (* (* (cbrt (fma 1/12 x 1/2)) (pow x 2/3)) (pow (exp 2/3) (- (log -1/12) (log -1))))) (* (/ (pow (exp 2/3) (- (log -1/12) (log -1))) (/ x (pow x 2/3))) (* (- 4 (/ 4 x)) (cbrt (fma 1/12 x 1/2))))) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (- (+ (* 1/18 (* (pow 1/2 1/3) x)) (pow 1/2 1/3)) (* 1/324 (* (pow 1/2 1/3) (pow x 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (fma (fma (cbrt 1/2) (* x (- 1/18 (* 1/324 x))) (cbrt 1/2)) (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (/ 1 x)) * * * * [misc]progress: [ 58 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (- (+ (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (* 4 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 2)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (fma (* (exp (fma 1/3 (- (log 1/12) (log 1)) (* (log x) 1/3))) (- (+ (/ 2 x) 1) (/ 4 (* x x)))) (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (/ 1 x)) * * * * [misc]progress: [ 59 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 4 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 2)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (fma (fma (exp (fma (- (log -1/12) (log -1)) 1/3 (* (log x) 1/3))) (- (/ 2 x) (/ 4 (* x x))) (exp (fma (- (log -1/12) (log -1)) 1/3 (* (log x) 1/3)))) (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (/ 1 x)) * * * * [misc]progress: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (cbrt (+ 1/2 (* 1/12 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (fma (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (cbrt (fma 1/12 x 1/2)) (/ 1 x)) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (cbrt (+ 1/2 (* 1/12 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (fma (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (cbrt (fma 1/12 x 1/2)) (/ 1 x)) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (cbrt (+ 1/2 (* 1/12 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (fma (pow (fma 1/12 x 1/2) (+ 1/3 1/3)) (cbrt (fma 1/12 x 1/2)) (/ 1 x)) * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (+ 1/2 (* 1/12 x)) (+ 1/3 1/3)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (fma (pow (fma x 1/12 1/2) (+ 1/3 1/3)) (cbrt (fma x 1/12 1/2)) (/ 1 x)) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (+ 1/2 (* 1/12 x)) (+ 1/3 1/3)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (fma (pow (fma x 1/12 1/2) (+ 1/3 1/3)) (cbrt (fma x 1/12 1/2)) (/ 1 x)) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (* (pow (+ 1/2 (* 1/12 x)) (+ 1/3 1/3)) (cbrt (fma 1/12 x 1/2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (fma (pow (fma x 1/12 1/2) (+ 1/3 1/3)) (cbrt (fma x 1/12 1/2)) (/ 1 x)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (exp x) (- (exp x) 1)) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x)